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This lecture covers the concept of general covariance in gravity, focusing on the principle of general covariance, equations for gravity, and the Newtonian limit. The instructor discusses distances in Euclidean space, red shift in gravity field, and the action principle for ideal. The lecture also explores the curvature tensor, differences between flat and curved space, and the static gravity field. Various equations and concepts related to gravity and general covariance are presented throughout the lecture.